Uploaded by Julianna Torres

Stat 3379 Paper 1

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Degree Program: Computer Science
Use each method to select a sample of 15 individuals
Place/group: The SSU Association for Computing Machinery club.
Size of Population: 653 students
Simple Random Sampling
I used Excel with =RANDBETWEEN(1,653)
The numbers are: 647, 553, 422, 238, 85, 627, 211, 78, 386, 572, 107, 640, 400, 4, 47
Systematic sampling
To find m I divided 653/15 and the answer was 43.5333, I rounded this down to 43.
To find k I used a calculator with MATH=> Prob=> randInt(1,43) and found k=23.
Start with k and add m to get 15 numbers:
23, 66, 109, 152, 195, 238, 281, 324, 367, 410, 453, 496, 539, 582, 625
Cluster Sampling (need 4-5 clusters)
The students were clustered by height
57-61in(1-96) 62-66in(97-209) 67-71in(210-497)
72-76in(498-653)
For cluster 57-61in I used excel with =RANDBETWEEN(1, 96) to get the numbers: 39, 89, 57
For cluster 62-66in I used excel with =RANDBETWEEN(97, 209) to get the numbers: 135, 107, 180
For cluster 67-71in I used excel with =RANDBETWEEN(210, 497) to get the numbers: 286, 254, 386, 217
For cluster 72-76in I used excel with =RANDBETWEEN(498, 653) to get the numbers: 571, 651, 598, 630, 538
Stratified sampling (need 6-8 strata)
I used weight for the strata
90-110(1-108) 111-125(109-202)
226-286(601-653)
126-141(203-386)
142-165(387-415)
166-225(416-600)
For strata 90-110 I used excel with =RANDBETWEEN(1, 108) to get the random numbers: 14, 42
For strata 111-125 I used excel with =RANDBETWEEN(109, 202) to get the random numbers: 193, 122, 169
For strata 126-141 I used excel with =RANDBETWEEN(203, 386) to get the random numbers: 359, 216, 372
For strata 142-165 I used excel with =RANDBETWEEN(387, 415) to get the random numbers: 415, 393, 388
For strata 166-225 I used excel with =RANDBETWEEN(416, 600) to get the random numbers: 573, 416
For strata 226-286 I used excel with =RANDBETWEEN(601, 653 ) to get the random numbers: 611, 638
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